How does the double-and-add algorithm optimize the computation of scalar multiplication on an elliptic curve?
Saturday, 15 June 2024
by EITCA Academy
The double-and-add algorithm is a fundamental technique used to optimize the computation of scalar multiplication on an elliptic curve, which is a critical operation in Elliptic Curve Cryptography (ECC). Scalar multiplication involves computing , where is an integer (the scalar) and is a point on the elliptic curve. Direct computation of by repeated addition is
- Published in Cybersecurity, EITC/IS/ACC Advanced Classical Cryptography, Elliptic Curve Cryptography, Elliptic Curve Cryptography (ECC), Examination review
Tagged under:
Cryptographic Algorithms, Cybersecurity, Double-and-Add, ECC, Elliptic Curves, Scalar Multiplication
In EC starting with a primitive element (x,y) with x,y integers we get all the elements as integers pairs. Is this a general feature of all ellipitic curves or only of the ones we choose to use?
Friday, 19 January 2024
by panosadrianos
In the realm of Elliptic Curve Cryptography (ECC), the property mentioned, where starting with a primitive element (x,y) with x and y as integers, all subsequent elements are also integer pairs, is not a general feature of all elliptic curves. Instead, it is a characteristic specific to certain types of elliptic curves that are chosen
- Published in Cybersecurity, EITC/IS/ACC Advanced Classical Cryptography, Elliptic Curve Cryptography, Elliptic Curve Cryptography (ECC)
Tagged under:
Cryptography, Cybersecurity, ECC, Elliptic Curves, Finite Fields, Scalar Multiplication